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Finding the Fourth Proportional to 392,365, 541,465.86 and 213,517

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Solution

The fourth proportional to 392,365, 541,465.86 and 213,517 is: 294,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,365 : 541,465.86 = 213,517 : x
  2. Step 2: Convert to fraction form
    392,365/541,465.86 = 213,517/x
  3. Step 3: Cross multiply
    392,365x = 541,465.86 × 213,517
  4. Step 4: Simplify right side
    392,365x = 115,612,166,029.62
  5. Step 5: Solve for x
    x = 115,612,166,029.62/392,365
  6. Step 6: Final answer
    x = 294,654.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.